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What is the value of log4(64)?
What is the value of log4(64)?
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What is the value of log4(64)?
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log4(64) = log4(4^3) = 3.
Questions & Step-by-step Solutions
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Q: What is the value of log4(64)?
Solution:
log4(64) = log4(4^3) = 3.
Steps: 5
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Step 1: Understand what log4(64) means. It asks, 'To what power do we raise 4 to get 64?'
Step 2: Rewrite 64 as a power of 4. We know that 4^3 = 64.
Step 3: Now we can say log4(64) = log4(4^3).
Step 4: Use the property of logarithms that says logb(b^x) = x. Here, b is 4 and x is 3.
Step 5: Therefore, log4(4^3) = 3.
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